Can you elevate the top to get a piece of 1x under it?
If so cut 4 pieces of 1x 20" long, drill 1/4" holes 1" in from each end, place 2 of the 1x's under the top (one on each side of the seam), run threaded rod through the holes, using nuts and washers tighten the rods evenly so the 1x's clamp the top, use your clamps off of these brackets. You may have to glue sandpaper to the 1x's to keep them from sliding.
I thought I had a picture of Justins set up for this but I don't.
Same idea I used here but the parts were same enough to fit in the parallel clamps.
If the top is finished you can use suction cups to clamp off of or hot glue some blocks in place to clamp off of. Rubbing alcohol dissolves every hot glue I have ever used, squirt some on the glue and the piece lifts right off.
Tom